Question

using eliminate method​

Answer 1

detailed answer

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Answer 2

$\large\bf\underline\pink{Step\:by\:step\: explanation}$

$\sf\purple{Let \:the\: equations}$

x - 2y = 1----------❶

2x - y = 5 --------➋

✑Multiple 2 to both side in equation ❶

↪x - 2y = 1----------❶

↪2×(x - 2y) = (1)×2

↪2x - 4y = 2 --------❸

☛ Now, Subtract equation ❸ from equation➋.

↦(2x - 4y) - (2x - y) = 2 -5

↦2x - 4y - 2x + y = - 3

↦ -4y + y = -3

↦-3y = -3

↦y = -3/-3

↦y = 1

✎Put the value of y is any equation.

↪2x - y = 5 --------➋

• Put y = 3

↪2x - 1 = 5

↪2x = 5 + 1

↪2x = 6

↪x = 6/2

↪x = 3

♱ Verification:-

• Put value of x and y in any equation for verification.

→2x - y = 5 --------➋

→2(3) - 1 = 5

→5 - 1 = 5

→5 = 5

Hence , verified.

Therefore, Value of x is 3 and value of y is 1.